Answer
See below
Work Step by Step
To find the maximum height the mouse can jump, we will find the maximum value of the given function $y=-0.2x^2+1.3x$
Coefficients: $a=-0.2\\b=1.3\\c=0$
The x-coordinate of the vertex is $x=\frac{-b}{2a}=\frac{-1.3}{2.(-0.2)}=3.25$
Substitute this into the given equation to find y:
$$y=-0.2(3.25)^2+1.3(3.25)\\
\rightarrow y=-0.2(10.5625)+4.225\\
\rightarrow y=2.1125$$
Hence, the vertex is (3.25,2.1125). The maximum value of the function is $y=2.1125$
The maximum height the mouse can jump is $2.1125$ft. Since the fence is 3ft high, the mouse can not jump over it.
